ExpScale

class ExpScale(a=2.718281828459045, b=1, c=1, inverse=False)[source]

Bases: _Scale, ScaleBase

“Exponential scale” that performs either of two transformations. When inverse is False (the default), performs the transformation

\[Ca^{bx}\]

where the constants \(a\), \(b\), and \(C\) are set by the input (see below). When inverse is True, this performs the inverse transformation

\[(\log_a(x) - \log_a(C))/b\]

which in appearance is equivalent to LogScale since it is just a linear transformation of the logarithm.

Parameters:

a (float, optional) – The base of the exponential, i.e. the \(a\) in \(Ca^{bx}\).
b (float, optional) – The scale for the exponent, i.e. the \(b\) in \(Ca^{bx}\).
c (float, optional) – The coefficient of the exponential, i.e. the \(C\) in \(Ca^{bx}\).
inverse (bool, optional) – If True, the “forward” direction performs the inverse operation.